THERMODYNAMICS: CHE1201 By Joseph Ddumba Lwanyaga; Bsc. AGE, MSc. ESE +256-706312211/777824770 jlwanyaga@gmail.com, jdlwanyaga@eng.busitema.ac.ug 1 Grading • Assignments (2), and project: 20 marks • Tests (at least one): 20 marks • End of semester examination: 60 marks Course rules and regulations • Attendance to lectures and class exercises is compulsory • Checking of attendance at the beginning of lectures may be done • Come to lectures about 5 minutes before starting time • Assignments plagiarism and tests and/or examination malpractices will be highly penalized. • Switch off or turn your mobile phones to silence mode during lectures. Course Objectives • To provide students with the basic principles of thermodynamics relevant to Engineering processes. • To state and understand the laws of thermodynamics • To apply the knowledge in the analysis of thermo systems. Course Content • • • • • • • • • • • • • Basic concepts Equation of state and ideal gases Specific heat capacities and perfect gases Zeroth law of thermodynamics, temperature and its measurement Heat and work; determination of work for various paths/processes First law of thermodynamics as applied to closed and open systems Steady flow and the continuity equation Application of first law to common systems Steam tables and the working fluid Second law of thermodynamics and entropy Application of the second law to heat engines, Refrigeration and heat pumps Otto, Dual, Atkinson, Joule (Gas turbines) and diesel cycles Combustion equations and chemical equilibrium 3 INTRODUCTION Thermodynamics; defined as the study of energy in its various forms and transformations and the interaction of energy with matter. Concerned with interactions between the influence of the system on its surroundings and vice versa Classical and Statistical Thermodynamics Classical thermodynamics Macroscopic approach to the study of thermodynamics that does not require a knowledge of the behaviour of individual particles of the system. Statistical thermodynamics More elaborate approach, based on the average behaviour of large groups of individual particles 4 Some Applications of Thermodynamics 5 Thermodynamic system A definite quantity of matter bounded by some closed surfaces Closed surface is referred to as the system boundary. Anything outside boundary is referred to as the surrounding Boundary can be real or imaginary. 6 Closed and Open systems Thermodynamic systems Closed system Open system 7 Thermodynamic properties A property is any macroscopic observable characteristic of a system Can be categorized as intensive or extensive. Thermodynamic state described by specification of two or more values of thermodynamic properties Intensive properties Properties that are independent of the mass and are definable at a point in a substance value of the intensive property will be the same for each point in the substance if the substance is uniform and homogeneous. Examples temperature, density, pressure, coefficient of viscosity, etc. Extensive properties Properties of a system whose value for the entire system equals the sum of the values for the component parts of the system or are properties that depend on the total mass of substance under consideration. Examples enthalpy, internal energy, volume, mass, etc. The ratio of the extensive property of the system to the total mass of the substance is referred to as the specific property. The total extensive property value of the system is always represented by a capital letter e.g. Enthalpy [H] while its specific property value is represented by 8 a lower case letter e.g. specific enthalpy [h]. Homogeneous substance A system is said to be homogeneous if the specific values of its properties are the same at all points in the system. Heat Form of energy which can be transferred from one body to another of lower temperature by virtue of the temperature difference between the bodies Heat is a transient energy whose rate of transfer is proportional to the temperature gradient Sensible Heat Refers to that heat that causes a temperature change within a system. Sensible heat is often given as; Cp – Thermal capacity at constant pressure [kJ/K or J/K] Cv – Thermal capacity at constant volume [kJ/K or J/K] 9 Thermodynamic Processes A change in the state of a system or change in properties of a system The word “iso” is normally used to identify the property constant during a certain process. Isothermal – constant temperature Isobaric – constant pressure, 1 bar = 1*105 Pa Iso-volumetric (Isochoric) – constant volume Isentropic – constant entropy Adiabatic – no heat exchange with surroundings Isenthalpic – Constant enthalpy Cyclic process A process that takes place in such a way that its initial and final states are the same 10 Quasi – Static process A process which occurs in such a way that at every instant the system departs, only infinitesimally from an equilibrium state All the states through which a system passes during a process can be considered as a succession of equilibrium states. Quasi –meaning almost, static meaning infinite slowness. Thus quasi-static process is infinitely slow transition of a system. Infinite slowness is the characteristic feature of a quasi-static process . A quasi-static process is a succession of equilibrium states. It is a reversible process 11 Quasi – static process cont’d 12 Equilibrium Thermal equilibrium - A system is said to be in thermal equilibrium if there is no temperature imbalance either within the system or between the system and its surroundings Chemical equilibrium - A state attained by a system in which all possible chemical reactions have ceased. Mechanical equilibrium - There are no unbalanced forces present either internal to the system or between the system and its surroundings Thermodynamic equilibrium System is in thermodynamic equilibrium if it has attained mechanical, chemical and thermal equilibrium concurrently 13 Steady flow This is when the mass entering the system per unit time is equal to mass leaving the system per unit time. Zeroth Law and Temperature measurement Zeroth law When two bodies are in thermal equilibrium with the third body, then the two bodies are also in thermal equilibrium with each other. Forms a basis of temperature measurement Temperature measurement The zeroth law provides the basis for the measurement of temperature. It enables us to compare temperatures of two bodies A and B with the help of a third body C and say that the temperature of A is the same as the temperature of B without actually bringing A and B in thermal contact. 14 Zeroth Law and Temperature measurement cont’d Thermometric property is the property that changes uniformly with temperature that is used to measure temperature Examples of thermometers 15 EMPIRICAL TEMPERATURE SCALES 16 Method in Use Before 1954 17 Method in Use After 1954 18 REVERSIBLE PROCESSES A reversible process is one that can be reversed without leaving any resultant change in either the system or the surroundings A reversible process can be reversed without leaving any resultant change in either the system or the surrounding It is possible to change the direction of the process without leaving any resultant change(s) within the system or surroundings. It is an idealization. All actual processes are irreversible and approach the reversible process only in special cases. Criteria for reversibility The process must be frictionless Difference in pressure between the fluid and its surroundings during the process must be infinitely small Difference in temperature between the fluid and its surroundings during the process must be infinitely small Note - All reversible processes are quasi – static but the reverse is not true 19 Equations of state Two forms of equations of state of gas v – specific volume [m3/kg], V – Volume [m3], R – gas constant [J/kgK], P – pressure [Pa], T – Temperature [K], m – mass [kg] n – number of moles, and - Molar gas constant [J/molK] The number of moles of gas can be computed as; Relationship between R [J/kg.K] and [J/mol.K] From, Comparing this with the expression gives; RmmCO2 = 44 g =44 *10-3 kg RCO2 = 8.314/44*10-3 = 189 J/kgK 20 Determination of work done during a volume change Consider a gas contained in a cylinder, during a given process the piston moves from point 1 to point 2 resulting in the volume change from V1 to V2 If the Force, F, causes the piston move through a small distance, dl, then work done is; If the cross sectional area is A, then by definition of pressure; Therefore, the total work, W, can be computed by integrating between the states 1 – 2; 21 Work done during some common processes Isochoric process Constant pressure process A process with a hyperbolic equation e.g. Isothermal process Polytropic processes These obey the equation; 22 Work done during some common processes cont’d Note; Using the equation PV = RT, it can be proved that the polytropic processes also follow the equations; Adiabatic processes For adiabatic processes, n = = cp/cv 23 Specific capacities Specific heat capacity at constant volume, cv is the change in internal energy per degree temperature change for a constant volume process Internal Energy, U The energy associated with the molecular motion of the substance. Internal energy differs from heat and work in that heat and work are transient energies where as internal energy is a property of a system. These molecules have kinetic energy due to their translation, rotational and vibratory motions and potential energy due to the intermolecular forces of attraction which account for the system’s internal energy. Enthalpy, H Enthalpy is the total thermal energy of the system. Can be computed as On a unit mass basis, specific enthalpy; ; u – specific internal energy [kJ/kgK] and v – specifc volume [m3/kg] From the definition of cv, Specific heat capacity at constant pressure, cp is defined as the change in enthalpy per degree temperature change at constant pressure. 24 Specific capacities cont’d cp and cv for an ideal gas are functions of only temperature and For a real gas, cp and cv vary with temperature but for most practical purposes, a suitable average may be used. A perfect gas is an ideal gas whose values of cp and cv are constant for all pressures and temperatures. For a perfect gas; ; therefore, ; hence, Relationship between cp and cv From , , and by use of the gas equation; , hence; , putting 25 26